双相材料模拟的区域分解重心插值配点法

BARYCENTRIC INTERPOLATION COLLOCATION METHOD WITH DOMAIN DECOMPOSITION FOR SIMULATING BIMATERIAL MODEL

针对双相材料力学性能分析,提出一种极坐标系下的区域分解重心插值配点法。根据材料界面将分析区域划分为两个计算区域,在每一个计算区域上建立极坐标系下重心插值配点法计算公式。组合两个区域上的计算公式,施加材料界面条件和边界条件,求解得到双相材料的位移场和应力场。双材料计算模型的数值算例表明了所提方法的计算精度。

The barycentric interpolation collocation method with domain decomposition for simulating mechanical properties of bimaterial model is presented in polar coordinate system. According to the interface of bimaterial model, the physical domain is divided into two subdomains. The formulations of barycentric interpolation collocation method is constructed on the subdomian, respectively. The formulations of subdomain are assembled in a global form. Applying boundary and interface conditions to Solve the system of algebraic equations, the displacement field of bimaterial model is obtained. The numrical results of bimaterial model indicate the validity and accuracy of proposed method.